Question

Find the equivalent equation that does not contain fractions 2/3 x 7=1/2

Answer 1

Answer:

$4x + 42 = 3$

Step-by-step explanation:

Given:

$\frac{2}{3}x + 7 = \frac{1}{2}$

Required

Equivalent expression without fraction

To do this, we simply multiply through by a common multiple of the denominators in the expression.

The denominators are 2 and 3

$2 = 2,4,6,8,10,..$

$3 = 3,6,9,12..$

So, 6 is the least common multiple.

Multiply both sides by 6

$6 * (\frac{2}{3}x + 7) = \frac{1}{2} * 6$

$6 *\frac{2}{3}x + 6*7 = \frac{1}{2} * 6$

$\frac{12}{3}x + 42 = \frac{6}{2}$

$4x + 42 = 3$

Hence, an equivalent expression.